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45785790 = 2335672531
BaseRepresentation
bin1010111010101…
…0001010111110
310012011011022000
42232222022332
543210121130
64313203130
71064113161
oct256521276
9105134260
1045785790
11239325a6
12134004a6
1396411ab
14611bad8
154046260
hex2baa2be

45785790 has 64 divisors (see below), whose sum is σ = 123966720. Its totient is φ = 12022560.

The previous prime is 45785771. The next prime is 45785797. The reversal of 45785790 is 9758754.

45785790 is a `hidden beast` number, since 4 + 5 + 78 + 579 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45785797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16825 + ... + 19355.

It is an arithmetic number, because the mean of its divisors is an integer number (1936980).

Almost surely, 245785790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45785790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61983360).

45785790 is an abundant number, since it is smaller than the sum of its proper divisors (78180930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45785790 is a wasteful number, since it uses less digits than its factorization.

45785790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 45785790 is about 6766.5197849411. The cubic root of 45785790 is about 357.7477442294.

The spelling of 45785790 in words is "forty-five million, seven hundred eighty-five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 90 134 135 201 270 335 402 603 670 1005 1206 1809 2010 2531 3015 3618 5062 6030 7593 9045 12655 15186 18090 22779 25310 37965 45558 68337 75930 113895 136674 169577 227790 339154 341685 508731 683370 847885 1017462 1526193 1695770 2543655 3052386 4578579 5087310 7630965 9157158 15261930 22892895 45785790